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Simplifying 7(2x + -6) = 4(3x + 26) Reorder the terms: 7(-6 + 2x) = 4(3x + 26) (-6 * 7 + 2x * 7) = 4(3x + 26) (-42 + 14x) = 4(3x + 26) Reorder the terms: -42 + 14x = 4(26 + 3x) -42 + 14x = (26 * 4 + 3x * 4) -42 + 14x = (104 + 12x) Solving -42 + 14x = 104 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -42 + 14x + -12x = 104 + 12x + -12x Combine like terms: 14x + -12x = 2x -42 + 2x = 104 + 12x + -12x Combine like terms: 12x + -12x = 0 -42 + 2x = 104 + 0 -42 + 2x = 104 Add '42' to each side of the equation. -42 + 42 + 2x = 104 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = 104 + 42 2x = 104 + 42 Combine like terms: 104 + 42 = 146 2x = 146 Divide each side by '2'. x = 73 Simplifying x = 73
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